Solve cos^-14%+cos^-112/13=cos^-133/65

$$\cos ^ { - 1 } 4 \% + \cos ^ { - 1 } \frac { 12 } { 13 } = \cos ^ { - 1 } \frac { 33 } { 65 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9999997563060741 ^ {-1} + 0.9998702249713747 ^ {-1} = 0.999960742461578 ^ {-1}$$

Calculate 0.9999997563060741 to the power of -1 and get \frac{10000000000000000}{9999997563060741}.

$$\frac{10000000000000000}{9999997563060741}+0.9998702249713747^{-1}=0.999960742461578^{-1}$$

Calculate 0.9998702249713747 to the power of -1 and get \frac{10000000000000000}{9998702249713747}.

$$\frac{10000000000000000}{9999997563060741}+\frac{10000000000000000}{9998702249713747}=0.999960742461578^{-1}$$

Add \frac{10000000000000000}{9999997563060741} and \frac{10000000000000000}{9998702249713747} to get \frac{199986998127744880000000000000000}{99986998130907418620948423706527}.

$$\frac{199986998127744880000000000000000}{99986998130907418620948423706527}=0.999960742461578^{-1}$$

Calculate 0.999960742461578 to the power of -1 and get \frac{500000000000000}{499980371230789}.

$$\frac{199986998127744880000000000000000}{99986998130907418620948423706527}=\frac{500000000000000}{499980371230789}$$

Compare \frac{199986998127744880000000000000000}{99986998130907418620948423706527} and \frac{500000000000000}{499980371230789}.

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